Absolute value as distance
Understand the absolute value of a rational number as its distance from zero on the number line; interpret absolute value as magnitude in real-world contexts; distinguish absolute value comparisons from ordering statements
Lesson
Set out your lesson
“Absolute value as distance means practising the idea at the table with counters or paper models and one clear check. We will demo once, then your child tries.”
Bring to the table
- Two colours of counters
- Paper for ratio or percent notation
Extra for the adult
Worked example. 2 red and 3 blue is the ratio 2:3.
Optional challenge. For Absolute value as distance, add one harder example after success.
What to notice. Keep one parent note: examples tried; results; support used. This session samples Absolute value as distance, not mastery.
Share and support
Family records and proof options
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Save photos, notes, and attendance. Export a proof packet for compliance or portfolio reviews.
Practice this concept
Start practiceAbsolute value as distance practice
Practice key ideas from Absolute value as distance.
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Learning resources
Extra practice links — they do not replace Gakuva’s teaching approach.
PhET Interactive Simulations · Practice link — not the full lesson
Number Line: Integers
Before you open · source notes
Number Line: Integers supports hands-on exploration for Absolute value as distance. Not every lab worksheet.
Free interactive page, no sign-in required for the tested path.
Before you openAsk the learner what they changed in the sim or page and what they observed.
Opening this link does not save learning or assess mastery.
Source, access and review notes
Public PhET Interactive Simulations page. An anonymous GET on 2026-11-12 returned HTTP 200 with no login or payment prompt for this URL. Opening the link does not save practice or assess mastery. An adult should preview and guide the learner.
PhET Interactive Simulations. “Number Line: Integers.” External page; Gakuva does not copy, host, embed, or redistribute materials.
Unknown — link only
Check understanding
- Define absolute value as distance from zero on a number line
- Calculate the absolute value of positive and negative rational numbers
- Distinguish between comparing absolute values and comparing signed numbers in real-world contexts
“Can your child tell you that the absolute value of −7 is 7 — because it's 7 steps from zero on a number line regardless of direction — and use this idea to compare distances?”
Curriculum record
- Type
- Conceptual
- Subject
- Mathematics
- Domain
- Number Representation & Place Value
- Age range
- Ages 11–12
Standards